A note on finite groups with the indice of some maximal subgroups being primes
عنوان مقاله: A note on finite groups with the indice of some maximal subgroups being primes
شناسه ملی مقاله: JR_THEGR-6-2_003
منتشر شده در در سال 1396
شناسه ملی مقاله: JR_THEGR-6-2_003
منتشر شده در در سال 1396
مشخصات نویسندگان مقاله:
Cui Zhang - Yantai University
خلاصه مقاله:
Cui Zhang - Yantai University
The Theorem ۱۲ in [A note on p-nilpotence and solvability of finite groups, J. Algebra ۳۲۱ (۲۰۰۹) ۱۵۵۵--۱۵۶۰.] investigated the non-abelian simple groups in which some maximal subgroups have primes indices. In this note we show that this result can be applied to prove that the finite groups in which every non-nilpotent maximal subgroup has prime index are solvable.
کلمات کلیدی: Non-abelian simple group, the index of maximal subgroup, solvable group
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1199653/